Greeks (including Spartans) would often have relationships with younger males.
Amongst the Greeks, marriage was viewed as a trading of property amongst males using their females offspring as tokens (Oxford Classical Dictionary, marriage); assuming marriage had something to do with it, Rome had it different. Marriage was amongst two families more or less, where the woman was under the house of their father.
When Rome came in (after Corinth), was there a reaction to the lifestyles of Greek male-male relationships? Was it not prevalent to warrant attention? Did Rome bat an eye or have similar practices? Was it noticed at all by Rome (excluding the obvious modern day clergy issue)?
Did it receive any notice amongst the Romans (who married amongst different standards)?
The way that the ancients viewed sexuality is different than it is today. It was more of a power thing for the Romans, who is the active participant in the sexual intercourse as opposed to who is the passive participant.
In aristocratic Roman society, such same-sex relationships were frowned upon in public. However private practice as we all know is very different than the public face. Julius Caesar was insulted throughout much of his life under the rumor that he was the "passive" lover of the King of Bithynia when he was of a young age (I believe around 15-16).
Some of the more conservative Romans, such as Cato, would have looked upon this Greek tradition of having younger men with older men as a violation of their stoic Roman virtues. When Rome conquered Greece and gained its terrority, sometime in the 200s-100s BCE depending on how you want to look at it, that is when Grecian thinking and culture would have come to Rome.
However we know that by the time of the emperor Tiberius, he had his own younger boys that he was clearly having relations with and nobody could do anything about that as he was the emperor.